Details

sample164.0ms

Algorithm

intervals

Results

78.0ms

551×

body

valid

simplify4.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3800
3	809
2	221
1	67
0	28

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize71.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* 27.0 j) k)
5.6b	(* (* (* x 18.0) y) z)
6.4b	(* t (* (* (* x 18.0) y) z))

rewrite281.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
21.0ms	(* (* 27.0 j) k)
66.0ms	(* (* (* x 18.0) y) z)
170.0ms	(* t (* (* (* x 18.0) y) z))

series181.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x 18.0) y)
33.0ms	(* (* 27.0 j) k)
52.0ms	(* (* (* x 18.0) y) z)
65.0ms	(* t (* (* (* x 18.0) y) z))

simplify2.4s

Counts

101 → 101

Iterations

Iter	Nodes
done	5002
2	2777
1	374
0	142

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* 27.0 j) k)
5.8b	(* t (* (* x 18.0) y))
5.8b	(* (* t (* (* x 18.0) y)) z)

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

21.0ms	(* (* x 18.0) y)
15.0ms	(* (* 27.0 j) k)
41.0ms	(* t (* (* x 18.0) y))
167.0ms	(* (* t (* (* x 18.0) y)) z)

series190.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* x 18.0) y)
34.0ms	(* (* 27.0 j) k)
55.0ms	(* t (* (* x 18.0) y))
67.0ms	(* (* t (* (* x 18.0) y)) z)

simplify1.7s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2473
1	380
0	143

prune940.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b	(* t (* x 18.0))
0.2b	(* (* 27.0 j) k)
5.2b	(* (* t (* x 18.0)) y)
5.8b	(* (* (* t (* x 18.0)) y) z)

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

13.0ms	(* t (* x 18.0))
13.0ms	(* (* 27.0 j) k)
36.0ms	(* (* t (* x 18.0)) y)
148.0ms	(* (* (* t (* x 18.0)) y) z)

series164.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* t (* x 18.0))
31.0ms	(* (* 27.0 j) k)
40.0ms	(* (* t (* x 18.0)) y)
56.0ms	(* (* (* t (* x 18.0)) y) z)

simplify2.2s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	2627
1	370
0	143

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b	(* t (* x 18.0))
0.3b	(* 27.0 (* j k))
5.2b	(* (* t (* x 18.0)) y)
5.8b	(* (* (* t (* x 18.0)) y) z)

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

13.0ms	(* t (* x 18.0))
12.0ms	(* 27.0 (* j k))
39.0ms	(* (* t (* x 18.0)) y)
149.0ms	(* (* (* t (* x 18.0)) y) z)

series177.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* t (* x 18.0))
37.0ms	(* 27.0 (* j k))
36.0ms	(* (* t (* x 18.0)) y)
62.0ms	(* (* (* t (* x 18.0)) y) z)

simplify1.9s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2221
1	355
0	140

prune992.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes1.8s

Accuracy

69.8% (1.3b remaining)

Error of 1.5b against oracle of 0.2b and baseline of 4.5b

bsearch403.0ms

Steps

Iters	Range		Point
7	1.2772387927924036e-39	5.052405706139398e-38	2.168478244128475e-38
8	-120166120962737.16	-3061467267.5442114	-18589615164.68767

simplify18.0ms

Iterations

Iter	Nodes
done	62
1	62
0	45

end0.0ms

sample5.7s

Algorithm

intervals

Results

3.8s

16095×

body

valid